Edit: Oops, I misunderstood you. There's voice acknowledgements from your mothership and pilots during the game itself and speech in the video cutscenes, but none for regular narrative throughout the game.

From that point in the video it sounds like a station acknowledgement. When you select your mothership it should say something. Same when you give it a location to move to or a target. Ditto for all your pilots. Not sure how you missed that, but there's definitely voice there.

If you mean long spoken voice, only the news items at the intermission have that. Everything else is mostly acknowledgements or things like "I've been hit!". The Red Corsair annoys me, he sounds like he doesn't want to obey your orders ("Ughhh... okay").